In a bicycle race, a quinella is a bet on the first 2 bicycles that finish the race, but the order in which these 2 bicycles place does not matter. How many different quinella bets are possible for a bicycle race where $19$19 bicycles are competing?
If the order of finish does not matter, we just want to choose any 2 of the 19.......so we have
C(19,2) = 171 possible bets
